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1200012100122 = 231117101103110271
BaseRepresentation
bin10001011101100110010…
…010111000001000011010
311020201102220110212020010
4101131212102320020122
5124130111044200442
62315140011542350
7152461263360243
oct21354622701032
94221386425203
101200012100122
11422a166010a0
121746a175a9b6
1389211c63444
144211bd97cca
1521335ccab9c
hex117664b821a

1200012100122 has 128 divisors (see below), whose sum is σ = 2802656526336. Its totient is φ = 338499200000.

The previous prime is 1200012100109. The next prime is 1200012100247. The reversal of 1200012100122 is 2210012100021.

It is a junction number, because it is equal to n+sod(n) for n = 1200012100098 and 1200012100107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116829847 + ... + 116840117.

It is an arithmetic number, because the mean of its divisors is an integer number (21895754112).

Almost surely, 21200012100122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200012100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401328263168).

1200012100122 is an abundant number, since it is smaller than the sum of its proper divisors (1602644426214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1200012100122 is a wasteful number, since it uses less digits than its factorization.

1200012100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11436.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1200012100122 its reverse (2210012100021), we get a palindrome (3410024200143).

The spelling of 1200012100122 in words is "one trillion, two hundred billion, twelve million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 187 202 303 374 561 606 1031 1111 1122 1717 2062 2222 3093 3333 3434 5151 6186 6666 10271 10302 11341 17527 18887 20542 22682 30813 34023 35054 37774 52581 56661 61626 68046 104131 105162 112981 113322 174607 192797 208262 225962 312393 338943 349214 385594 523821 578391 624786 677886 1037371 1047642 1145441 1156782 1770227 1920677 2074742 2290882 3112113 3436323 3540454 3841354 5310681 5762031 6224226 6872646 10589401 10621362 11411081 11524062 17635307 19472497 21178802 22822162 31768203 34233243 35270614 38944994 52905921 58417491 63536406 68466486 105811842 116483411 116834982 180019817 193988377 232966822 349450233 360039634 387976754 540059451 581965131 698900466 1069529501 1080118902 1163930262 1980217987 2139059002 3208588503 3960435974 5940653961 6417177006 11764824511 11881307922 18182001517 23529649022 35294473533 36364003034 54546004551 70588947066 109092009102 200002016687 400004033374 600006050061 1200012100122